What are the solutions to the equation 0=x^5-2.2x^4-6.61x^3+8.602x^2 ?

The solutions to the equation 0=x^5-2.2x^4-6.61x^3+8.602x^2 are x=0,x= 17/5 ,x= 11/10 ,x=-23/10

Find the zeros of 0=x^5-2.2x^4-6.61x^3+8.602x^2

The zeros of 0=x^5-2.2x^4-6.61x^3+8.602x^2 are x=0,x= 17/5 ,x= 11/10 ,x=-23/10

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0 = x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2}

x = 0, x = \frac{17}{5}, x = \frac{11}{10}, x = - \frac{23}{10}

Decimal Notation

x = 0, x = 3.4, x = 1.1, x = - 2.3

Solution steps

0 = x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2}

Switch sides

x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2} = 0

Factor

x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2} : x^{2} (x^{3} - 2.2 x^{2} - 6.61 x + 8.602)

x^{2} (x^{3} - 2.2 x^{2} - 6.61 x + 8.602) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} - 2.2 x^{2} - 6.61 x + 8.602 = 0

Solve

x^{3} - 2.2 x^{2} - 6.61 x + 8.602 = 0 : x = \frac{17}{5}, x = \frac{11}{10}, x = - \frac{23}{10}

The solutions are

x = 0, x = \frac{17}{5}, x = \frac{11}{10}, x = - \frac{23}{10}

x^{3} + 5 x^{2} - 36 x = 0

x^{6} - 5 x^{3} + 6 = 0

x^{3} - 5 x^{2} + 2 x + 12 = 0

x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

m^{6} + 3 m^{4} + 3 m^{2} + 1 = 0

What are the solutions to the equation 0=x^5-2.2x^4-6.61x^3+8.602x^2 ?
The solutions to the equation 0=x^5-2.2x^4-6.61x^3+8.602x^2 are x=0,x= 17/5 ,x= 11/10 ,x=-23/10
Find the zeros of 0=x^5-2.2x^4-6.61x^3+8.602x^2
The zeros of 0=x^5-2.2x^4-6.61x^3+8.602x^2 are x=0,x= 17/5 ,x= 11/10 ,x=-23/10